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Complete Question:
The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?
Answer:
We accept [tex]H_o[/tex] hence no significant evidence
Step-by-step explanation:
From the question we are told that
sample correlation n= 20
population correlation = 4
level of significance [tex]\alpha =0.05[/tex]
Generally we are task to understand existing difference between sample correlation and population correlation
Generally null hypothesis is given by [tex]H_o : p=0[/tex]
alternative hypothesis [tex]H1_1 : p\neq 0[/tex]
generaly the mathematical representation of test statics
[tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]
[tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]
[tex]t= 1.85[/tex]
Generally for table the p value is given by [tex]p= 0.08056[/tex]
p value > the null hypothesis
Therefore
We accept [tex]H_o[/tex] hence no significant evidence